Question 10 of 15beginner🔧 ApplyShort Answer4 marks
Determine which of the following pairs can be the angles of a triangle and which cannot: (a) 35°, 150° (b) 70°, 30° (c) 90°, 85° (d) 50°, 150°
(a)
Answer
Cannot be angles of a triangle. Sum = 185° > 180°.
(b)
Answer
Can be angles of a triangle. Sum = 100° < 180°. Third angle = 80°.
(c)
Answer
Can be angles of a triangle. Sum = 175° < 180°. Third angle = 5°.
(d)
Answer
Cannot be angles of a triangle. Sum = 200° > 180°.
Explanation
(a) Sum exceeds 180°, so third angle would be negative. (b) Sum less than 180°, valid triangle possible. (c) Sum less than 180°, valid triangle possible. (d) Sum exceeds 180°, so third angle would be negative.